-25=3(6n+1)-4(8+4n)

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Solution for -25=3(6n+1)-4(8+4n) equation:


Simplifying
-25 = 3(6n + 1) + -4(8 + 4n)

Reorder the terms:
-25 = 3(1 + 6n) + -4(8 + 4n)
-25 = (1 * 3 + 6n * 3) + -4(8 + 4n)
-25 = (3 + 18n) + -4(8 + 4n)
-25 = 3 + 18n + (8 * -4 + 4n * -4)
-25 = 3 + 18n + (-32 + -16n)

Reorder the terms:
-25 = 3 + -32 + 18n + -16n

Combine like terms: 3 + -32 = -29
-25 = -29 + 18n + -16n

Combine like terms: 18n + -16n = 2n
-25 = -29 + 2n

Solving
-25 = -29 + 2n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2n' to each side of the equation.
-25 + -2n = -29 + 2n + -2n

Combine like terms: 2n + -2n = 0
-25 + -2n = -29 + 0
-25 + -2n = -29

Add '25' to each side of the equation.
-25 + 25 + -2n = -29 + 25

Combine like terms: -25 + 25 = 0
0 + -2n = -29 + 25
-2n = -29 + 25

Combine like terms: -29 + 25 = -4
-2n = -4

Divide each side by '-2'.
n = 2

Simplifying
n = 2

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